Question

A line that includes the points (- 3, - 10) and (- 4,v) has a slope of - 4. What is the value of v?

Answer 1

Answer:

The value of v with given slop and points is - 6

Step-by-step explanation:

Given as :

Let x and y be the points of a line

So, x = ( - 3 , - 10 )    And  y = ( - 4 , v )

The given slop of line XY is - 4

Now, from slop equation :

Slop = $\frac{(y2 - y1)}{(x2 - x1)}$

Or, - 4 = $\frac{(v + 10)}{(- 4 + 3)}$

Or, - 4 =  $\frac{(v + 10)}{(- 1)}$

Or, v + 10 = ( -4 ) × (- 1 )

Or, v + 10 = 4

∴    v = 4 - 10 = - 6

Hence The value of v with given slop and points is - 6      Answer